An economy contains two risky assets. Asset X will pay off $1$ in one year if the FTSE$-100$ rises over the next year and zero otherwise. Asset Y will pay nothing in one year if the FTSE$-100$ has risen over the year and $1$ otherwise. The price of asset X is $0\mathrm{.}59$ and the price of asset Y is $$0\mathrm{.}32.$ the risk$-$free interest rate in this economy is closest to$?$ Options are : a$)8\%,$ b$)10\%,$ c$)6\%,$ d$)12\%$